04286nam 2200613 a 450 991043815200332120200520144314.04-431-54324-410.1007/978-4-431-54324-4(CKB)2670000000372138(EBL)1106469(OCoLC)845339310(SSID)ssj0000904248(PQKBManifestationID)11545178(PQKBTitleCode)TC0000904248(PQKBWorkID)10920640(PQKB)11390185(DE-He213)978-4-431-54324-4(MiAaPQ)EBC1106469(PPN)170493687(EXLCZ)99267000000037213820130805d2013 uy 0engur|n|---|||||txtccrAdvances in mathematical economicsVolume 17 /Shigeo Kusuoka, Toru Maruyama, editors1st ed. 2013.Tokyo Springer20131 online resource (171 p.)Advances in mathematical economics,1866-2226 ;v. 17Description based upon print version of record.4-431-54701-0 4-431-54323-6 Includes bibliographical references and index.Table of Contents; Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings; 1 Introduction; 2 Notations and Preliminaries; 3 Measurability and Conditional Expectation in the Dual Space; 4 Law of Large Numbers in a Dual Space; 5 Law of Large Numbers and Ergodic Theorem Involving Subdifferential Operators; References; Discounted optimal growth in a two-sector RSS model: a further geometric investigation; 1 Introduction; 2 The Model and Its Geometrical Antecedents; 3 The Case 1 < ξ < (1/(1-d)); 3.1 The Benchmarks; 3.2 Check-Map Dynamics3.3 The McKenzie Bifurcation3.4 The Optimal Policy Correspondence; 4 The Case (ξ- (1/ξ))(1-d) = 1; 4.1 The Benchmarks; 4.2 Check-Map Dynamics; 4.3 The McKenzie Bifurcation; 4.4 The Optimal Policy Correspondence; 5 The Case (ξ- 1)(1-d) = 1; 5.1 The Benchmarks; 5.2 Check-Map Dynamics; 5.3 Two Bifurcations; 5.4 The Optimal Policy Correspondence; 6 Concluding Observation; References; Gaussian K-scheme: justification for KLNV method; 1 Introduction; 2 Notation and Results; 3 Preparations; 4 Gaussian K-Scheme; 5 Approximation of SDE; 6 Approximation of Linear SDE; 7 Structure of Vector Fields8 A Certain Class of Wiener Functionals9 Random Linear Operators; 10 Basic Lemma; 11 Commutation and Infinitesimal Difference; 12 Proof of Theorem 3; 13 Proof of Theorem 4; References; Competitive equilibria of a large exchange economy on the commodity space; 1 Introduction; 2 The Model and the Results; 2.1 Mathematical Preliminaries; 2.2 Description of the Economy; 3 Proofs of Theorems; References; Local consistency of the iterative least-squares estimator for the semiparametric binary choice model; 1 Introduction; 2 The Method; 3 Consistency; 4 Proof of Consistency4.1 Differentiability of R4.2 Uniform Consistency of Rn; 4.3 Proof of Consistency; References; Subject Index; Instructions for AuthorsA lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.Advances in Mathematical Economics,1866-2226 ;17Economics, MathematicalEconomics, Mathematical.330.0151Kusuoka S(Shigeo),1954-60659Maruyama Toru118037MiAaPQMiAaPQMiAaPQBOOK9910438152003321Advances in mathematical economics4197838UNINA